Question

A store sells regular coffee for $5 a pound and gourmet coffee for $8 a pound. To get rid of 30 pounds of the gourmet coffee, a shopkeeper makes a blend to put on sale for $6 a pound. How many pounds of regular coffee should he use?

Answer 1

60 pound

Explanation:

Calculation for How many pounds of regular coffee should he use

Let pounds of regular coffee be x

Let value of regular coffee be 5x

Let cost of gourmet coffee be 8

Let value of gourmet coffee be 8*30

Let pounds of mixture be 30+x

Let value of mixture be 6(30+x)

Equation:

5x+(8*30)=6(30+x)

5x+240=6(30+x)

Now Let Solve for x:

5x+240=180+6x

240-180=6x-5x

60=1x

x=60/1

x=60

Therefore, he should use $60 pounds of regular coffee